a) [461 + (−78) + 40] + (−461)
= [461 + (−461)] + [(−78) + 40]
= 0 + (−38)
= −38
b) [53 + (−76)] − [−76 − (−53)]
= [−23] − [−23]
= −23 + 23
= 0
c) −564 + [(−724) + 564 + 224]
= [−564 + 564] + [(−724) + 224]
= 0 + (−500)
= −500
d) −87 + (−12) − (−487) + 512
= −87 − 12 + 487 + 512
= (−99) + 999= 900
e) 942 − 2367 + 2563 − 1942
= (942 − 1942) + (2563 − 2367)
= (−1000) + 196
= −804
f) 17 + (−20) + 23 + (−26) + ... + 53 + (−56)
= [17 + (−20)] + [23 + (−26)] + [29 + (−32)] + [35 + (−38)] + [41 + (−44)] + [47 + (−50)] + [53 + (−56)]
= (−3) + (−3) + (−3) + (−3) + (−3) + (−3) + (−3)
= 7 × (−3)= −21
